Determining the projection of a vector on s line
Introduction to i and imaginary numbers
Introduction to the first two logarithm properties.
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Introduction to the matrix.
This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable
Inverse Variation Application
Example of calculating the inverse of a 2x2 matrix
Vakinhoud:
- Leren rekenen met vectoren en matrices.
- De methode van rijreductie voor het oplossen van lineaire systemen.
- De begrippen lineair onafhankelijk, span en basis
- Elementaire lineaire transformaties, de begrippen surjectief en injectief.
- De begrippen deelruimte, basis en dimensie en voorbeelden hiervan.
- Eigenwaardes en eigenvectoren van een matrix.
- Dit vak is een combinatie van de vakken Lineaire Algebra 1 en Lineaire Algebra 2 die bij andere TU-opleidingen aangeboden worden.
Leerdoelen:
- Het kennen van basisbegrippen, het gebruik van basismethodes.
- Het maken van logische afleidingen met behulp van deze begrippen en methodes
Welcome to this online course on Linear Algebra.
Linear Algebra is a branch of mathematics that plays a fundamental to role in many parts of Science and Engineering, such as Quantum Mechanics, Coding Theory, Signal Processing and Control Theory .
As Linear Algebra is a common component of many university programmes in Science or Engineering, this course can be used as additional study or preparation for on campus courses on Linear Algebra. Please note that we cannot guarantee that this course can replace an on campus course.
The course has no preliminaries other than basic high school mathematics. Furthermore, the course is self contained; it can be studied without extra resources. Nevertheless, for each topic you can find some references to standard literature that you can consult for further reading.
After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today’s students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning.
Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.
The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners whereas Chapters 5–9 contain a second semester course. The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).
Understanding linear combinations and spans of vectors
Introduction to linear subspaces of Rn
Introduction to linear transformations
Showing how ANY linear transformation can be represented as a matrix vector product
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Linear and nonlinear functions (example 1).
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Linear and nonlinear functions (example 2).
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Linear and nonlinear functions (example 3).
Equation of a line
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Linear equation word problem example.